Question

Find the mean, median and standard deviation for this sample. Round any decimals to three places....

Find the mean, median and standard deviation for this sample. Round any decimals to three places.

data 212 77 121 104 153 264 195 244

Homework Answers

Answer #1

Solution:

x x2
212 44944
77 5929
121 14641
104 10816
153 23409
264 69696
195 38025
244 59536
∑x=1370 ∑x2=266996



Mean ˉx=∑xn

=212+77+121+104+153+264+195+244/8

=1370/8

=171.25


Median :
Observations in the ascending order are :
77,104,121,153,195,212,244,264

Here, n=8 is even.

M=Value of(n/2)thobservation+Value of(n2+1)thobservation2

=Value of(82)thobservation+Value of(82+1)thobservation2

=Value of4thobservation+Value of5thobservation2

=153+1952

=174

Sample Standard deviation S=√∑x2-(∑x)2nn-1

=√266996-(1370)28/7

=√266996-234612.5/7

=√32383.5/7

=√4626.2143

=68.0163

Sample Standard deviation =68.016

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